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Main Authors: Berenguer, Martí, Erdmenger, Johanna, Evans, Nick, Fan, Wanxiang, Vasel, Florian
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.11136
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author Berenguer, Martí
Erdmenger, Johanna
Evans, Nick
Fan, Wanxiang
Vasel, Florian
author_facet Berenguer, Martí
Erdmenger, Johanna
Evans, Nick
Fan, Wanxiang
Vasel, Florian
contents We revisit the holographic description of the thermal first order phase transition of N=4 SYM compactified on a spatial circle. At the transition, the dominant bulk saddle exchanges between a geometry with a compact spatial circle and one with a compact Euclidean time circle. We construct a one-parameter family of Euclidean geometries that describes the unstable branch of the transition, completing the swallow-tail structure of the free energy. Although these configurations are thermodynamically unstable, they provide a continuous interpolation between the confining soliton and the deconfined black hole phases. Using probe fundamental strings, we show that the theory remains confining along the unstable branch, with a string tension that decreases smoothly and vanishes only in the black hole limit. Introducing fundamental matter via probe D5-branes, we find that chiral symmetry breaking follows the same pattern: the condensate decreases continuously and switches off precisely where confinement disappears. We discuss the implications for the confinement and chiral symmetry breaking mechanisms at large Nc.
format Preprint
id arxiv_https___arxiv_org_abs_2601_11136
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Confinement and chiral symmetry breaking in holography: a smooth switch-off
Berenguer, Martí
Erdmenger, Johanna
Evans, Nick
Fan, Wanxiang
Vasel, Florian
High Energy Physics - Theory
We revisit the holographic description of the thermal first order phase transition of N=4 SYM compactified on a spatial circle. At the transition, the dominant bulk saddle exchanges between a geometry with a compact spatial circle and one with a compact Euclidean time circle. We construct a one-parameter family of Euclidean geometries that describes the unstable branch of the transition, completing the swallow-tail structure of the free energy. Although these configurations are thermodynamically unstable, they provide a continuous interpolation between the confining soliton and the deconfined black hole phases. Using probe fundamental strings, we show that the theory remains confining along the unstable branch, with a string tension that decreases smoothly and vanishes only in the black hole limit. Introducing fundamental matter via probe D5-branes, we find that chiral symmetry breaking follows the same pattern: the condensate decreases continuously and switches off precisely where confinement disappears. We discuss the implications for the confinement and chiral symmetry breaking mechanisms at large Nc.
title Confinement and chiral symmetry breaking in holography: a smooth switch-off
topic High Energy Physics - Theory
url https://arxiv.org/abs/2601.11136